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Value-Based Network Externalities and Optimal Auction Design

机译:基于价值的网络外部性和最优拍卖设计

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We study revenue maximization in settings where agents' valuations exhibit positive network externalities. In our model, items have unlimited supply, and agents are unit demand. In a departure from previous literature, we assume agents have value based externalities, meaning that their valuation depends not only on their own signal, but also on the signals of other agents in their neighborhood who win the item. We give a complete characterization of ex-post incentive compatible and individually rational auctions in this setting. Using this characterization, we show that the optimal auction is in fact deterministic, and can be computed in polynomial time when the agents' signals are independent. We further show a constant factor approximation when the signals of agents are correlated, and an optimal mechanism in this case for a constant number of bidders.
机译:我们研究了代理估值表现出积极网络外部性的环境中的收入最大化。在我们的模型中,物品具有无限的供应,代理是单位需求。在以前文学的偏离中,我们假设代理有基于价值的外部性,这意味着他们的估值不仅取决于自己的信号,还取决于他们赢得该项目的邻居的其他代理的信号。我们在此设置中提供了在此设置中的前后激励和单独合理拍卖的完整表征。使用此表征,我们表明最佳拍卖实际上是确定性的,并且可以在代理信号的信号独立于多项式时间中计算。当代理信号相关时,我们进一步示出了恒定因子近似,并且在这种情况下为恒定数量的竞标者进行最佳机制。

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